Scatter Diagrams
A scatter diagram is a graphical representation of the relationship between two variables. The two variables are plotted on the x-axis and y-axis, and the points are then plotted to show the relationship between them.
Scatter diagrams can be used to identify the following:
- The direction of the relationship between the two variables. If the points are generally moving from left to right, then there is a positive relationship between the two variables. If the points are generally moving from right to left, then there is a negative relationship between the two variables.
- The strength of the relationship between the two variables. The stronger the relationship, the more closely the points will cluster around a straight line.
- The form of the relationship between the two variables. The relationship between the two variables may be linear, curvilinear, or non-existent.
Mathematical Formulas
There are no mathematical formulas for scatter diagrams.
MCQs on Scatter Diagrams
Here are some MCQs on scatter diagrams:
- What does a scatter diagram with a positive slope indicate?
- A. There is a positive relationship between the two variables.
- B. There is a negative relationship between the two variables.
- C. The relationship between the two variables is curvilinear.
- D. The relationship between the two variables is non-existent.
The correct answer is (A). A scatter diagram with a positive slope indicates that there is a positive relationship between the two variables. This means that as the value of one variable increases, the value of the other variable also increases.
- What does a scatter diagram with a negative slope indicate?
- A. There is a positive relationship between the two variables.
- B. There is a negative relationship between the two variables.
- C. The relationship between the two variables is curvilinear.
- D. The relationship between the two variables is non-existent.
The correct answer is (B). A scatter diagram with a negative slope indicates that there is a negative relationship between the two variables. This means that as the value of one variable increases, the value of the other variable decreases.
- What does a scatter diagram with a straight line indicate?
- A. There is a linear relationship between the two variables.
- B. There is a curvilinear relationship between the two variables.
- C. The relationship between the two variables is non-existent.
- D. The relationship between the two variables is not clear.
The correct answer is (A). A scatter diagram with a straight line indicates that there is a linear relationship between the two variables. This means that the relationship between the two variables can be represented by a straight line.
- What does a scatter diagram with a curved line indicate?
- A. There is a linear relationship between the two variables.
- B. There is a curvilinear relationship between the two variables.
- C. The relationship between the two variables is non-existent.
- D. The relationship between the two variables is not clear.
The correct answer is (B). A scatter diagram with a curved line indicates that there is a curvilinear relationship between the two variables. This means that the relationship between the two variables cannot be represented by a straight line.
Conclusion
Scatter diagrams are a simple and effective way to visualize the relationship between two variables. They can be used to identify the direction, strength, and form of the relationship between the two variables.